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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.19194 |
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| _version_ | 1866909990099353600 |
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| author | Daddi-Hammou, Aoumeur Delorme, Stéphane Blaizot, Jean-Paul Gossiaux, Pol Bernard Gousset, Thierry |
| author_facet | Daddi-Hammou, Aoumeur Delorme, Stéphane Blaizot, Jean-Paul Gossiaux, Pol Bernard Gousset, Thierry |
| contents | In this work, we explore the range of validity of the semiclassical approximation of a quantum master equation designed to describe the $c\bar{c}$ dynamics in a quark gluon plasma at various temperatures, in the quantum Brownian regime. We perform a comparative study of various properties, e.g. the charmonia yield, of the Wigner density obtained with the Lindblad equation and with the associated semiclassical Fokker-Planck equation. The semiclassical description is found to reproduce with a remarkable accuracy the results obtained through the full quantum description. We show that, to a large extent, this can be attributed to the non-unitary components of the dynamics that result from the contact of the $c\bar{c}$ subsystem with the thermal bath, leading to a rapid classicalization of the subsystem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum vs. semiclassical description of in-QGP quarkonia in the quantum Brownian regime Daddi-Hammou, Aoumeur Delorme, Stéphane Blaizot, Jean-Paul Gossiaux, Pol Bernard Gousset, Thierry High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics In this work, we explore the range of validity of the semiclassical approximation of a quantum master equation designed to describe the $c\bar{c}$ dynamics in a quark gluon plasma at various temperatures, in the quantum Brownian regime. We perform a comparative study of various properties, e.g. the charmonia yield, of the Wigner density obtained with the Lindblad equation and with the associated semiclassical Fokker-Planck equation. The semiclassical description is found to reproduce with a remarkable accuracy the results obtained through the full quantum description. We show that, to a large extent, this can be attributed to the non-unitary components of the dynamics that result from the contact of the $c\bar{c}$ subsystem with the thermal bath, leading to a rapid classicalization of the subsystem. |
| title | Quantum vs. semiclassical description of in-QGP quarkonia in the quantum Brownian regime |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2506.19194 |